Question

write a quadratic equation whose sum of zeros is 2 and produet of zeros is –8​

Answer 1

Answer:

find a quadratic polynomial the sum and product of whose zeroes are 1 apan 4 and -1.

Answer 2

Given,

• Sum of zeroes (α + β) = 2
• Product of zeroes (αβ) = -8

To Find,

• Quadratic polynomial.

According to question,

We know that,

Quadratic polynomial,

⇢ x² - (α + β)x + αβ

[ Put the values ]

⇢ x² - (2)x + (-8)

⇢ x² - 2x - 8

Therefore,

• The quadratic polynomial is x² - 2x - 8.

For information,

• D > 0

Nature of roots :- Roots are real and unequal.

• D < 0

Nature of roots :- Roots are not real and unequal.

• D = 0

Nature of roots :- Roots are real and equal.